Linear-quadratic optimal control for time-varying descriptor systems via space decompositions

作     者：LüPengchao Huang Junjie Liu Bo Lü Pengchao;Huang Junjie;Liu Bo

作者机构：School of Mathematical SciencesInner Mongolia UniversityHohhot 010021China Ministry of Education Key Laboratory for Intelligent Analysis and Security Governance of Ethnic LanguagesMinzu University of ChinaBeijing 100081China 

出 版 物：《The Journal of China Universities of Posts and Telecommunications》 (中国邮电高校学报（英文版）)

年 卷 期：2023年第30卷第6期

页      面：38-48页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：supported by the National Natural Science Foundation of China(11961052,62173355) the Natural Science Foundation of Inner Mongolia(2021MS01006) the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(NMGIRT2317) 

主　　题：linear-quadratic optimal control problem(LQOCP) time-varying descriptor system Moore-Penrose inverse space decomposition 

摘      要：This paper aims at solving the linear-quadratic optimal control problems(LQOCP)for time-varying descriptor systems in a real Hilbert *** using the Moore-Penrose inverse theory and space decomposition technique,the descriptor system can be rewritten as a new differential-algebraic equation(DAE),and then some novel sufficient conditions for the solvability of LQOCP are ***,the methods proposed in this work are simpler and easier to verify and compute,and can solve LQOCP without the range inclusion *** addition,some numerical examples are shown to verify the results obtained.